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LenaWriter [7]
3 years ago
12

Slice for the missing sides 45-45-90 triangle. show work thank you

Mathematics
1 answer:
Lelu [443]3 years ago
3 0

Answer:

x and y are 5.66 units

Step-by-step explanation:

The triangle above is a right angled triangle ; and can be solved using trigonometric relation :

Using :

Sin 45 = opposite / hypotenus

Opposite = y ; hypotenus = 8

Sin 45 = y/8

y = sin 45 * 8

y = 5.66 units

Side length x ;

Sin 45 = opposite / hypotenus

Sin 45 = x / 8

x = sin 45 * 8

x = 5.66 units

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A rectangular prism has dimensions of 8 cm by 9 cm by 10 cm. <br><br> What is its volume?
Gnoma [55]

Answer:

720

Step-by-step explanation:

volume =l×l×l

so 8×9×10=720

7 0
3 years ago
E^2x - e^x - 6 = 0 (solve exponential equation(
krek1111 [17]

Let's assume, e^x = y.

Hence, the given equation can be written as:

y² - y - 6 = 0

Next step is to factor the trinomial. For that, break down the constant -6 into two multiples so that their addition will result the coefficient of y =-1.

So, 6 = -3* 2

And sum of -3 and 2 will give -1.

Therefore, we can replace -y with -3y + 2y. So,

y² - 3y + 2y - 6 =0

(y² - 3y) + (2y - 6) =0 Make the group of terms.

y(y - 3)+ 2(y -3) =0 Take out the common factor from each group.

(y - 3 ) (y + 2) = 0 Take out the common factor (y - 3).

So, y - 3 = 0 and y + 2 =0 Equate both factor equal to 0.

Hence, y = 3 and -2.

So, e^x = 3 , e^x=-2

lne^x =ln 3 , lne^x=ln(-2) Taking ln to each sides.

So, x = ln 3

But ln (-2) is not defined.

So, x = ln (3) is the real solution of the given equation.

6 0
3 years ago
1/2x=14<br> Help please I’ve been stuck on this how do I check it?
n200080 [17]
Divided both sides by 1/2
1/2x/(1/2)=14/(1/2)
x=14/(1/2)=14/0.5=28
The answer will be x=28
7 0
3 years ago
Given the center (-11,-3) and r = 4, write an equation for the circle in standard form
grandymaker [24]

this is it :

{(x - 11)}^{2}  +  {(y - 3)}^{2}  = 16

7 0
4 years ago
1 Point
ki77a [65]

Answer:

Population

Step-by-step explanation:

In mathematics, when we talk about the people, places, or things under consideration, we are referring to the population. The Population is the entire sum of objects in a study. When a researcher wants to study factors that concern a particular set of people, places, or things, the group under study is the population. For example, the researcher might want to do a study on the amount of food consumed by Brazilian students in the year 2019. The Brazilian students represent the population, because they are the group of people being studied.

The population under study might sometimes be difficult to study as a whole. For example, the study of the entire Brazilian students might be cumbersome. In such cases, a sample can be drawn from the population and studied, or the population narrowed down a little more, so that it can be easily studied.

8 0
3 years ago
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